I would recommend looking into Canada as an alternative.
Then, if you do get a H1, you will likely never get a Green card given the current rules.
For short term (5-7 years), you may surely consider getting some sort of work visa. Long term, if you are looking for PR, US is not the one to look at for Indians.
I am in mid 30s, got PR approval 5 years ago. At current rate, I will retire and still not have a PR. It’s ridiculous, but not funny at all.